Question

Refer to the figure.

30. How many planes are shown in the figure?
31. How many planes contain points B, C, and E?
32. Name three collinear points.
3. Where could you add point G on plane N
so that A, B, and G would be collinear?
4. Name a point that is not coplanar with
A, B, and C.
5. Name four points that are coplanar.
BN

Answer 1

30. 5 planes are shown

31. 1 plane

32. CEF

33. on line AB

34. E or F

35. ABCD or BCEF or CDEF or ACEF

Step-by-step explanation:

30. Each of the surfaces of the rectangular pyramid is a plane. There are 5 planes.

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31. 3 points define one plane only.

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32. The only points shown on the same line segment are points E, F, and C.

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33. If G is to be collinear with A and B, it must lie on line AB.

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34. The only points shown that are not on plane N are points E and F. Either of those will do.

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35. There are three planes that have 4 points shown on them. The four points that are on the same plane are any of ...

• ABCD
• BCEF
• CDEF

Plane ACEF is not shown on the diagram, but we know that those 4 points are also coplanar. (Any point not on line CE, together with the three points on that line, will define a plane with 4 coplanar points.)